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Real and Complex Measures

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Part of the Graduate Texts in Mathematics book series (GTM,volume 282)

Abstract

A measure is a countably additive function from a s-algebra to [0,α]. In this chapter, we consider countably additive functions from a s-algebra to either R or C. The first section of this chapter shows that these functions, called real measures or complex measures, form an interesting Banach space with an appropriate norm.

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© 2020 Sheldon Axler

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Axler, S. (2020). Real and Complex Measures. In: Measure, Integration & Real Analysis. Graduate Texts in Mathematics, vol 282. Springer, Cham. https://doi.org/10.1007/978-3-030-33143-6_9

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